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In this paper, two-step sparse approximate inverse(SAI)-symmetric successive overrelaxation(SSOR) preconditioned generalised minimal residual (GMRES) algorithms are applied to solve the linear system of equations resulting from the 3-D CN-FDTD method for the simulation of the T junction microstrip circuit. The simulation results demonstrate that the two-step preconditioner can greatly accelerate the...
Based on the finite element approximation and nonoverlapping domain decomposition, an efficient parallel algorithm of the finite-element time-domain method is presented for the analysis of the photonic band gap structure. The unconditionally stable implicit Newmark-beta scheme is used in the time domain finite-element tearing and interconnecting algorithm. Through the use of Lagrange multipliers,...
The system matrix of TD-FEBI method is composed of the finite element part and the boundary integral part, which leads to a bad-conditioned matrix. Because the matrix equation has to be solved at each time step, the computing burden is very intensive. In this paper, a SSOR preconditioner is developed to accelerate the matrix-solving at each time step. Numerical examples demonstrated that the proposed...
The first order impedance boundary condition (the first order ABC) is implemented to terminate the perfectly matched layers (PMLs) in the time-domain finite-element (TDFE) simulation of electromagnetic problems. The formulation is validated by the numerical simulation of three-domain waveguide problem. The numerical results show clearly that the PMLs backed with the first order impedance boundary...
In this paper, several Krylov subspace iterative algorithms are proposed as the solvers for the unconditionally stable three-dimensional Crank-Nicolson finite-difference time- domain (3D CN-FDTD) method. To demonstrate features of this method, a resonant cavity is analyzed. Numerical results indicate that the GMRES method is the most efficient solver for the dielectric cavity. And while the time step...
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